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If f(x)=5x, what is f^-1 (X)

1 Answer

1 vote
Answer:
f^-1(x) = x/5

Step-by-step explanation:
To get the inverse of the function, we will follow these steps:
1- Substitute f(x) with y. Therefore:
f(x) = 5x will be written as:
y = 5x
2- Swap the x and y. This means that:
y = 5x will be written as:
x = 5y
3- Solve for y to get the inverse function as follows:
x = 5y
x/5 = y
4- Substitute the y with f^-1(x). Therefore:
y = x/5 will be written as:
f^-1(x) = x/5

Hope this helps :)
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User FakeMake
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